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Leona [35]
3 years ago
14

Alonzo works as a car detailer. He charges $175 per car. He is planning to move out of his parents' house and rent his first apa

rtment. He will need to
pay $115 for application fees, $965 for security deposit, and first and last months' rent at $1,240 per month. He has $1,886 in savings. How many cars
must he detail to have enough money to rent the apartment
cars
Mathematics
2 answers:
Anton [14]3 years ago
5 0

Answer:

correct answer is 9

Step-by-step explanation:

Inessa05 [86]3 years ago
3 0

Answer:

10 cars

Step-by-step explanation:

Variable c = car

Step 1: form an equation

175c + 1886 = 115 + 965 + (1240)2

Step 2: isolate variable c and solve

175c + 1886 = 3560

175c = 3560 - 1886

175c = 1674

c = 1674 ÷ 175

c = 9.56....

*He will not get paid until the full car is detailed. Therefore, decimals (seen as half a car) will not pay him anything.*

Step 3: round up to the nearest whole number

c = 10

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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
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Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
3 years ago
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